• DocumentCode
    1522718
  • Title

    The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems

  • Author

    Frey, Gerhard ; Müller, Michael ; Rück, Hans-Georg

  • Author_Institution
    Inst. for Exp. Math., Essen Univ., Germany
  • Volume
    45
  • Issue
    5
  • fYear
    1999
  • fDate
    7/1/1999 12:00:00 AM
  • Firstpage
    1717
  • Lastpage
    1719
  • Abstract
    The Tate pairing is used to reduce the discrete logarithm (DL) problem on certain elliptic curves to the DL in the multiplicative group of finite fields
  • Keywords
    cryptography; group theory; Tate pairing; discrete logarithm; elliptic curve cryptosystems; finite fields; multiplicative group; Decoding; Elliptic curve cryptography; Equations; Probability; Voting;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.771254
  • Filename
    771254
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1522718